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Finding the Fourth Proportional to 252.40, 378.64 and 144.10

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Solution

The fourth proportional to 252.40, 378.64 and 144.10 is: 216.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.40 : 378.64 = 144.10 : x
  2. Step 2: Convert to fraction form
    252.40/378.64 = 144.10/x
  3. Step 3: Cross multiply
    252.40x = 378.64 × 144.10
  4. Step 4: Simplify right side
    252.40x = 54,562.02
  5. Step 5: Solve for x
    x = 54,562.02/252.40
  6. Step 6: Final answer
    x = 216.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.